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MULTIPLE SOLUTIONS FOR A CLASS OF THE SYSTEMS OF THE CRITICAL GROWTH SUSPENSION BRIDGE EQUATIONS

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초록

We show the existence of at least two solutions for a class of systems of the critical growth nonlinear suspension bridge equations with Dirichlet boundary condition and periodic condition. We ¯rst show that the system has a positive solution under suit- able conditions, and next show that the system has another solution under the same conditions by the linking arguments.

Abstract

We show the existence of at least two solutions for a class of systems of the critical growth nonlinear suspension bridge equations with Dirichlet boundary condition and periodic condition. We ¯rst show that the system has a positive solution under suit- able conditions, and next show that the system has another solution under the same conditions by the linking arguments.

참고문헌 (8)

  1. K. C. Chang, "Solutions of asymptotically linear operator equations via Morse theory", Comm. Pure Appl. Math, 34, pp.693~712 (1981)
  2. K. C. Chang, "In¯nite dimensional Morse theory and multiple solution prob- lems" (1993), BirkhÄauser
  3. Q. H. Choi, "A nonlinear suspension bridge equation with nonconstant load", Nonlinear Analysis TMA, 35, pp.649~668 (1999)
  4. Q. H. Choi, "Multiplicity results for the nonlinear suspen- sion bridge equation, Dynamics of Continuous", Discrete and Impulsive Systems Series A: Mathematical Analysis, 9, pp.29~38 (2002)
  5. Q. H. Choi, "The study of a nonlin- ear suspension bridge equation by a variational reduction method", Applicable Analysis, 50, pp.73~92 (1993)
  6. P. J. McKenna, "Nonlinear oscillations in a suspen- sion bridge", Archive for Rational Mechanics and Analysis, 98(2), pp.167~177 (1987)
  7. J. T. Schwartz, "Nonlinear functional analysis" (1969), Gordon and Breach
  8. P. H. Rabinowitz, "Minimax methods in critical point theory with applications to di®erential equations", C.B.M.S. Reg. Conf. Ser. in Math, 6 (1986), American Math- ematical Society

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